GCD of 882, 909, 831, 770 Calculator

Given Input numbers are 882, 909, 831, 770

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 882, 909, 831, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 909, 831, 770 is 1.

Therefore, GCD of numbers 882, 909, 831, 770 is 1

Given Input Data is 882, 909, 831, 770

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 831 is 3 x 277

Prime Factorization of 770 is 2 x 5 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(882, 909) = 89082

GCD(882, 909) = ( 882 x 909 ) / 89082

GCD(882, 909) = 801738 / 89082

GCD(882, 909) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 831

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 831) = 2493

GCD(9, 831) = ( 9 x 831 ) / 2493

GCD(9, 831) = 7479 / 2493

GCD(9, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 770

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 770) = 2310

GCD(3, 770) = ( 3 x 770 ) / 2310

GCD(3, 770) = 2310 / 2310

GCD(3, 770) = 1

GCD of 882, 909, 831, 770 is 1

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1. What is the GCD of 882, 909, 831, 770?

GCD of 882, 909, 831, 770 is 1

2. Where do I get the detailed procedure to find GCD of 882, 909, 831, 770?

You can find a detailed procedure to find GCD of 882, 909, 831, 770 on our page.

3. How to find GCD of 882, 909, 831, 770 on a calculator?

You can find the GCD of 882, 909, 831, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.